Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:
We let the substitution take place.
Therefore, we let 
Thus, 
So,
Also, the interval of the integration changes to [ 37, 65]
Thus,
= 
= 156.5 units²
y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
This should be easy because we just have to use substitution method. Substitute the value of x from the second equation into the x of the first equation.
-4(2y) + 11y = 15
-8y + 11y = 15
3y = 15 ; y = 5
Substitute this value of y to either the first or second equation.
x = 2(5) = 10
The ordered pair is therefore (10,5).
